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Finding the Fourth Proportional to 67.68, 100.89 and 61.44

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Solution

The fourth proportional to 67.68, 100.89 and 61.44 is: 91.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.68 : 100.89 = 61.44 : x
  2. Step 2: Convert to fraction form
    67.68/100.89 = 61.44/x
  3. Step 3: Cross multiply
    67.68x = 100.89 × 61.44
  4. Step 4: Simplify right side
    67.68x = 6,198.68
  5. Step 5: Solve for x
    x = 6,198.68/67.68
  6. Step 6: Final answer
    x = 91.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.